This textbook is an introduction to the mathematical theory of the Calderón problem. It includes a thorough account of many important developments. The book is intended for graduate students who are familiar with basics of real, complex, and functional analysis. The text can be used for short or long graduate level courses on this topic. Basic properties of weak solutions of partial differential equations, of Sobolev spaces, and of Fourier transform are developed in the text and appendices. Comprehensive Notes sections with further references to the literature will be helpful for those readers who wish to study this topic further.
Readership
Graduate students and researchers interested in inverse problems and their applications.
University of British Columbia, Vancouver, BC, Canada
University of Jyväskylä, Jyväskylä, Finland
University of Washington, Seattle, WA